Transcription of Integral ch 7 - NCERT
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Integral ch 7 - NCERT
INTEGRALS 287vJust as a mountaineer climbs a mountain because it is there, soa good mathematics student studies new material becauseit is there. JAMES B. BRISTOL IntroductionDifferential Calculus is centred on the concept of thederivative. The original motivation for the derivative wasthe problem of defining tangent lines to the graphs offunctions and calculating the slope of such lines. IntegralCalculus is motivated by the problem of defining andcalculating the area of the region bounded by the graph ofthe a function f is differentiable in an interval I, , itsderivative f exists at each point of I, then a natural questionarises that given f at each point of I, can we determinethe function? The functions that could possibly have givenfunction as a derivative are called anti derivatives (orprimitive) of the function.
calculating the area of the region bounded by the graph of the functions. If a function f is differentiable in an interval I, i.e., its derivative f′exists at each point of I, then a natural question arises that given f′at each point of I, can we determine ... (vii) ( )– cosec cosec cot d x x x dx
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